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lubasha [3.4K]
3 years ago
12

In Euclidean geometry, the sum of the measures of the interior angles of a pentagon is 540°. Predict how the sum of the measures

of the interior angles of a pentagon would be different in spherical geometry.
A.
The sum would be greater than 540°.
B.
The sum would still be 540°.
C.
The sum would be less than 540°.
D.
The sum would less than or greater than, but never equal to, 540°.
Mathematics
1 answer:
Blizzard [7]3 years ago
6 0
In Euclidean geometry, the sum of the measures of the interior anlges of a pentagon is 540°. 

The sum of the measures of the interior angles of a pentagon would be different in spherical geometry because A.) THE SUM WOULD BE GREATER THAN 540°
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Complete the table of values
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Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify! 

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, 3^{-2} =
\frac{1}{3^{2} }.
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, (\frac{3}{4}) ^{3}  =  \frac{ 3^{3} }{4^{3} }.
3) The zero exponent rule<span> says that any number raised to zero is 1. For example, 3^{0} = 1.
</span>

Back to the Problem:
Problem 1 
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<span>1) x = 0
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<span>
2) x = 2
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<span>

Problem 2
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<span>1) x = 0
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<span>
-------

Answers: 
a = 1
b = </span>\frac{1}{16}<span>
c = </span>\frac{1}{256}
d = 1
e = \frac{4}{9}
f = \frac{16}{81}
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4 0
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